Microstructured materials, such as photonic crystals or arrays of metallic nanoparticles offer great potential for applications, from optical trapping to Raman spectroscopy and planar integrated optics. In order to become a practical technology, however, a number of obstacles need to be overcome in both nufacturing and simulation. In this talk, we will present new boundary integral equation methods for the frequency domain solution of Maxwell's equations in such structures. The methods are high-order accurate, do not require a spatial mesh, and are free of numerical dispersion. They are accelerated through the incorporation of a multi-level fast multipole method. Such fast, accurate solvers will be essential in design, and in the assesment of manufacturability.
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